• Aim: How do we find the exact values of the the other five trig functions when one function value is given?

Before we do this, let's simplify the following in terms of sine and cosine in simplest terms:

A. (1 + cos x)(1 + sec x) B. (cos a + sin a)/(sin a)


In this lesson we will sketch an unknown angle using some given information. From that we will determine the values of the other five trigonometric functions.

Video 1

This last video shows how to do this to a quadrant I angle. You will need to apply this to an angle in any quadrant. You will see what I mean in the class work.

The video below gives some another type of example as Video 1, but it takes it to a more challenging level.

Video 2


  • Classwork: Find the missing 5 trig functions when you know cos x = -1/3 and lies in quadrant III.


  • Homework: Complete #3 - 13 odd. Be sure to sketch these first. Also, beware of the signs of numbers in the quadrants.

8.6_Finding_other_values.JPG
  • Answers
A-8.6_Finding_other_values.JPG

  • Journal entry: How can the relationship between a pair of complementary angles be used to expressed a function of an angle as a function of an angle that is less than 45 degrees?